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?geru

Perform a rank-1 update of a general conjugate matrix, that is, .

alpha is a multiplication coefficient, A is a general m x n matrix, x is a vector including m elements, and y is a vector including n elements.

Interface Definition

C interface:

void cblas_cgeru(const enum CBLAS_ORDER order, const BLASINT M, const BLASINT N, const void *alpha, const void *X, const BLASINT incX, const void *Y, const BLASINT incY, void *A, const BLASINT lda);

void cblas_zgeru(const enum CBLAS_ORDER order, const BLASINT M, const BLASINT N, const void *alpha, const void *X, const BLASINT incX, const void *Y, const BLASINT incY, void *A, const BLASINT lda);

Fortran interface:

CALL CGERU(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)

CALL ZGERU(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)

Parameters

Parameter

Type

Description

Input/Output

order

Enumeration type CBLAS_ORDER

Indicates whether the matrix is in row- or column-major order.

Input

M

Integer

Number of rows in matrix A

Input

N

Integer

Number of columns in matrix A

Input

alpha

  • For cgeru, alpha is of single-precision complex number type.
  • For zgeru, alpha is of double-precision complex number type.

Multiplication coefficient

Input

X

  • For cgeru, X is of single-precision complex number type.
  • For zgeru, X is of double-precision complex number type.

Matrix X. The vector scale is at least (1+(m-1)*abs(incx)).

Input

incX

Integer

Increment for elements in vector X. The value cannot be 0.

Input

Y

  • For cgeru, Y is of single-precision complex number type.
  • For zgeru, Y is of double-precision complex number type.

Matrix Y. The vector size is at least (1+(n-1)*abs(incy)).

Input

incY

Integer

Increment for elements in vector Y. The value cannot be 0.

Input

A

  • For cgeru, A is of single-precision complex number type.
  • For zgeru, A is of double-precision complex number type.

Matrix A(lda, n)

Output

lda

Integer

Length of the primary dimension in matrix A. If A is a column-store matrix, lda must be greater than or equal to max(1, m). Otherwise, lda must be greater than or equal to max(1,n).

Input

Dependencies

#include "kblas.h"

Examples

C interface:

    int m = 4, n = 4, lda = 4; 
    float alpha[2] = {1.0, 2.0}; 
    int incx = 1, incy = 1; 
    /** 
     * X: 
     *    0.340188, -0.105617, 0.283099, 0.298440, 0.411647, -0.302449, -0.164777, 0.268230 
     * Y: 
     *   -0.222225, 0.053970, -0.022603, 0.128871, -0.135216, 0.013401, 0.452230, 0.416195 
     * A: 
     *     0.135712, 0.217297, -0.343321, -0.099056, 0.112640, -0.203968, 0.026745,    0.269914 
     *    -0.358397, 0.106969, -0.370210, -0.391191, 0.137552, 0.024287, -0.099771, 0.391529 
     *    -0.483699, -0.257113, 0.498924, -0.281743, -0.006417, 0.472775, -0.216685, -0.147542 
     *    -0.362768, 0.304177, 0.012932, 0.339112, -0.207483, 0.271358, 0.307725, 0.419026 
     */ 
    float x[8] = {0.340188, -0.105617, 0.283099, 0.298440, 0.411647, -0.302449, -0.164777, 0.268230}; 
    float y[8] = {-0.222225, 0.053970, -0.022603, 0.128871, -0.135216, 0.013401, 0.452230, 0.416195}; 
    float a[32] = {0.135712, 0.217297, -0.343321, -0.099056, 0.112640, -0.203968, 0.026745, 0.269914, 
                    -0.358397, 0.106969, -0.370210, -0.391191, 0.137552, 0.024287, -0.099771, 0.391529, 
                    -0.483699, -0.257113, 0.498924, -0.281743, -0.006417, 0.472775, -0.216685, -0.147542, 
                    -0.362768, 0.304177, 0.012932, 0.339112, -0.207483, 0.271358, 0.307725, 0.419026}; 
 
    cblas_cgeru(CblasColMajor, m, n, alpha, x, incx, y, incy, a, 4); 
   /** 
     * Output A: 
     *    -0.017847 0.119331  -0.444931 0.165040  -0.565962 -0.327440 -0.352610 0.793599
     *    -0.320256 -0.308135 -0.474544 -0.451172 0.529765 -0.402861  -0.488827 0.599533
     *    -0.141372 -0.264850 0.047453 0.143518   -0.150850 0.415971  0.035456  0.929981
     *    0.185887  0.245696  -0.076018 0.302546  -0.121045 -0.148647 0.016127  0.099442
     */

Fortran interface:

      INTEGER :: M=4 
      INTEGER :: N=4 
      INTEGER :: LDA=4 
      INTEGER :: INCX=1 
      INTEGER :: INCY=1 
      COMPLEX(4) :: ALPHA=(1.0, 2.0) 
      COMPLEX(4) :: A(4, 4) 
      DATA A/(0.135712, 0.217297), (-0.343321, -0.099056), 
     $       (0.112640, -0.203968), (0.026745, 0.269914), 
     $       (-0.358397, 0.106969), (-0.370210, -0.391191), 
     $       (0.137552, 0.024287), (-0.099771, 0.391529), 
     $       (-0.483699, -0.257113), (0.498924, -0.281743), 
     $       (-0.006417, 0.472775), (-0.216685, -0.147542), 
     $       (-0.362768, 0.304177), (0.012932, 0.339112), 
     $       (-0.207483, 0.271358), (0.307725, 0.419026)/ 
      COMPLEX(4) :: X(4) 
      DATA X/(0.340188, -0.105617), (0.283099, 0.298440), 
     $       (0.411647, -0.302449), (-0.164777, 0.268230)/ 
      COMPLEX(4) :: Y(4) 
      DATA Y/(-0.222225, 0.053970), (-0.022603, 0.128871), 
     $       (-0.135216, 0.013401), (0.452230, 0.416195)/ 
      EXTERNAL CGERU 
      CALL CGERU(M, N, ALPHA, X, INCX, Y, INCY, A, LDA) 
 
*     Output A: 
     *    -0.017847 0.119331  -0.444931 0.165040  -0.565962 -0.327440 -0.352610 0.793599
     *    -0.320256 -0.308135 -0.474544 -0.451172 0.529765 -0.402861  -0.488827 0.599533
     *    -0.141372 -0.264850 0.047453 0.143518   -0.150850 0.415971  0.035456  0.929981
     *    0.185887  0.245696  -0.076018 0.302546  -0.121045 -0.148647 0.016127  0.099442